(5.75+2):0.01=7.75:0.01=775
Используем формулы сокращённого умножения и внесение общего множителя
Tg(a+b)=(tga+tgb)/1-tga*tgb)=(1/5+2/3)/(1-1/5*2/3)=1 ctg(a-b)= (1+3/2*5/2)/(3/2-5/2)=-4,75 tg(π/4+a)=(tgπ/4+tga)/(1-tgπ/4*tga)=(1+tga)/(1-tga) =(1+12/13*13/5)/(1-12/5) =17/7
<span>(√11-1)²=11-2√11+1=12-2√11</span>
1)80³-50³=(8*10)³-(5*10)³=10³(8³-5³)=1000(8-5)(8²+8*5+5²)=<span><span>300*10(8²+8*5+5²)
</span> 2)87</span><span>³+32</span>³=(87+32)(87²-87*32+32²)=119(87²-87*32+32²)
3)75³+65³=(5*15)<span>³+(5*13)</span>³=5³(15³+13³)=5*25(15+13)(15²-15*13+13²)=
5*25*28(15²-15*13+13²)=700*5<span><span>(15²-15*13+13²)
</span>4)84³+24³ =.(12*7)³+(12*2)³=12³(7³+2³)=2³6³(7+2)(7²-7*2+2²)=8*216*9</span><span>(7²-7*2+2²)=</span>8*1944<span>(7²-7*2+2²)</span>